N=4 Supersymmetric BMS3 algebras from asymptotic symmetry analysis

Abstract

We consider three dimensional $N=4$ flat supergravity, with an abelian R-symmetry enhancing the gravitational phase space. We obtain the field configuration whose asymptotic symmetries at null infinity coincide with the centrally extended $N=4$ super Bondi-Metzner-Sachs (BMS) algebra .The killing spinors for this generic configuration are obtained together with the energy bounds imposed by supersymmetry. It is explicitly shown that the same algebra can be obtained as a flat (AdS radius $\to \infty$ ) limit of the combined $(2,0)$ and $(0,2)$ sectors of AdS supergravity.

31 pages

References in corpus (4)

• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Super-BMS${}_3$ algebras from $\mathcal{N}=2$ flat supergravities
• Holographic positive energy theorems in three-dimensional gravity
• Extended Supersymmetric BMS${}_3$ algebras and Their Free Field Realisations

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• Asymptotic structure of the Rarita-Schwinger theory in four spacetime dimensions at spatial infinity
• Supersymmetrization of deformed BMS algebras
• Semi-classical BMS-blocks from the Oscillator Construction
• Asymptotic Symmetry of Four Dimensional Einstein-Yang-Mills and Einstein-Maxwell Theory
• Dual Theory for maximally $\mathcal{N}$ extended flat Supergravity
• On the $\mathcal{N}=3$ and $\mathcal{N}=4$ superconformal holographic dictionary
• Asymmetric Galilean conformal algebras
• Asymptotic Symmetry and Classical holographic dual of $d{S}_3$ supergravity